Year 11 ICAS Mathematics 5-Question Sample

Question 1 of 5 Chance and data

In a box-plot question from a morning skills-checkpoint sheet, use the box-plot summary. Which comparison is best supported?

Box plot summary

Class	Minimum	Q1	Median	Q3	Maximum
A	25	37	43	50	65
B	27	38	48	58	73

A Class A has the higher median and the larger interquartile range. B The two classes have the same median, but Class A has the larger spread. C Class A must have the highest mean because its minimum is smaller. D Class B has the higher median and the larger interquartile range.

Question 2 of 5 Chance and data

In a scatterplot question from a north-side study-group worksheet, the scatterplot compares training time and score. Which conclusion is most reasonable?

A There is no association because the points are not exactly on one line. B There is a positive association, but the graph alone does not prove training caused every score change. C Training time proves the exact score for every student. D There is a negative association because the x-values increase.

Question 3 of 5 Algebra and patterns

For a translated-graph check from a morning maths-competition warm-up, the graph is a translation of \(y=x^2\). Which equation matches the vertex shown?

A \(y=(x+2)^2+3\) B \(y=(x-2)^2+3\) C \(y=x^2+2\) D \(y=(x-2)^2-3\)

Question 4 of 5 Space and geometry

For a non-right-triangle check from a north-side study-group worksheet, the included angle between two known sides is 70 degrees. Which length is closest to side \(c\)?

A 12.3 cm B 15 cm C 3 cm D 21 cm

Question 5 of 5 Measures and units

In a scale-drawing area question from a morning study-skills workshop, a scale drawing of a rectangular room uses the measurements shown. What is the actual floor area?

Scale drawing of a room

Plan measure	Value
Scale	1 cm represents 3 m
Plan length	6 cm
Plan width	2 cm
Required	actual floor area

A \(12\text{ m}^2\) B \(36\text{ m}^2\) C \(108\text{ m}^2\) D \(48\text{ m}^2\)

Year 11 Mathematics sample

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